How Does the Lindemann Constant Influence Melting Points in Solids?

[Irrelephant]

I'm trying to make a simulator for melting points...

I've been on wikipedia, and the formula('s) they give for predicting melting point are very confusing, could someone explain them to me?

I plan to use the formula:

Where θD is the Debye temperature and h is the Planck constant, a is the atomic spacing, kB is the Boltzmann constant, m is the atomic mass, and where 'c' is Lindermanns constant...

Now I believe I can get the values for every variable in the equation ok, EXCEPT 'c' lindermanns constant, is this a set value? Or does it vary? -If it does vary how can I find it out?

Please explain in as much detail as possible, (I'll need it!)

Thanks a lot

 

[Irrelephant]

:( :(

 

[Irrelephant]

Anyone? :(

 

[Penn.6-5000]

Lindemann originally found a related formula empirically; "The Theory of the Properties of Metals and Alloys" (Mott and Jones, 1936) notes that "Lindemann's formula has not at present received a theoretical explanation." Wikipedia shows a derivation so clearly someone added a derivation later. The best description I can find is:

http://phycomp.technion.ac.il/~phsorkin/thesis/node4.html

This page says that the Lindemann constant is supposed to be constant for a particular crystal structure, but to vary between different structures. Experiments have, however, shown that the formula as a whole doesn't do all that well, and the linked web page further notes that the assumptions backing the derivation of this formula aren't as valid as one would like for many substances. This is, unfortunately, the best I can find. Good luck.